Finding the Third Proportional to 205,857 and 456,105

Step by Step Solution

1. Step 1: Write the proportion equation
   205,857 : 456,105 = 456,105 : x
2. Step 2: Convert to fraction form
   205,857/456,105 = 456,105/x
3. Step 3: Cross multiply
   205,857x = 456,105 × 456,105
4. Step 4: Simplify right side
   205,857x = 208,031,771,025
5. Step 5: Solve for x
   x = 208,031,771,025/205,857
6. Step 6: Final answer
   x = 1,010,564.47